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Finding the Fourth Proportional to 255,765.60, 383,677.20 and 78,271.20

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Solution

The fourth proportional to 255,765.60, 383,677.20 and 78,271.20 is: 117,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,765.60 : 383,677.20 = 78,271.20 : x
  2. Step 2: Convert to fraction form
    255,765.60/383,677.20 = 78,271.20/x
  3. Step 3: Cross multiply
    255,765.60x = 383,677.20 × 78,271.20
  4. Step 4: Simplify right side
    255,765.60x = 30,030,874,856.64
  5. Step 5: Solve for x
    x = 30,030,874,856.64/255,765.60
  6. Step 6: Final answer
    x = 117,415.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.